If so, yeah that's pretty bad..
I currently have it secured with my backup codes (printed and stored in a secure location), as well as two Yubikey (one primary, one backup).
I'd be seriously angry if Google locked me out of my account.
Even with 2FA setup, correct password correct TOTP, it did not let them in because it was suspicious. I also checked "it was me" in all their security alerts. It would only let the person in with sms based 2fa, which was a pain.
There are 3rd party authenticator apps (not Google Authenticator, though) that will allow you to seamlessly back up and restore the 2nd authentication factor, even to a different device. Ideally, it then becomes no less convenient than a password.
I forget now why I was originally trying to login. I may have been trying to setup 2fa even. Not gonna happen now.
I've largely given up on personal use of email, full stop.
Have had an account since the 1980s.